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Simplifying 8(6n + -8) = 28 + 2n Reorder the terms: 8(-8 + 6n) = 28 + 2n (-8 * 8 + 6n * 8) = 28 + 2n (-64 + 48n) = 28 + 2n Solving -64 + 48n = 28 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -64 + 48n + -2n = 28 + 2n + -2n Combine like terms: 48n + -2n = 46n -64 + 46n = 28 + 2n + -2n Combine like terms: 2n + -2n = 0 -64 + 46n = 28 + 0 -64 + 46n = 28 Add '64' to each side of the equation. -64 + 64 + 46n = 28 + 64 Combine like terms: -64 + 64 = 0 0 + 46n = 28 + 64 46n = 28 + 64 Combine like terms: 28 + 64 = 92 46n = 92 Divide each side by '46'. n = 2 Simplifying n = 2
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